In fact this equation can be written as \(\rm y^{\prime \prime } + ay^\prime + \left(b e^{\kappa x } +c \right)y=0\) , and its solution is of the form [1]}:
\(\rm Y(x)=Exp\left({-\frac{ax}{2}}\right)Z_\rho \left(\frac{2\sqrt{b}}{\kappa } e^{\frac{\kappa x}{2}}\right),\) 
